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Andreas93 [3]
3 years ago
7

Find the length of side x in simplest radical form with a rational denominator.

Mathematics
1 answer:
madreJ [45]3 years ago
8 0

Answer:

x=2√5

Step-by-step explanation:

<u>1st method:</u>

sin(30)=opposite/hypotenuse=√5/x

sin(30)x=√5

x=√5/sin(30)

x=2√5

<u>2nd method:</u>

cos(60)=adjacent/hypotenuse=√5/x

cos(60)x=√5

x=√5/cos(60)

x=2√5

<u>3rd method:</u>

This is a 30-60-90 triangle, so we can multiply the short side, √5, by 2, to get x=2√5

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Answer:

c) 1/3

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since there are 6 sides to the dice and 2 options could be chosen= 2/6 and that simplified is 1/3

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Chris bought "c" tickets to a movie for $9 each. Michael bought " m" tickets to another movie for $10 each. Write an expression
Fynjy0 [20]

<u>Answer:</u>

9c + 10 (see below)

<u>Step-by-step explanation:</u>

To find how much Chris spent on tickets, you can write an expression to represent the situation:

$9c

You can do this to find how much Michael spent as well:

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The table below shows two equations:
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Answer:

The solutions to equation 1 are x = 3, −1.5, and equation 2 has no solution.

Step-by-step explanation:

Rearranging the two equations, you get ...

  • |4x -3| = 9 . . . . . has two solutions
  • |2x +3| = -5 . . . . has no solutions (an absolute value cannot be negative)

The above-listed answer is the only one that matches these solution counts.

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Testing the above values of x reveals they are, indeed, solutions to Equation 1.

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Audrey and Sam divided money in the ratio of 3 to 5. Audrey obtained $36, how much money do they have altogether?
Ivenika [448]

8:20 is the same as 2:5.

<h3>What is unitary method?</h3>
  • The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units. What can be values and units.
  • Let's say you go to the store to buy six apples. You are informed by the shopkeeper that he is offering 10 apples for Rs 100. In this instance, the value and the units are the price of the apples.
  • Recognizing the units and values is crucial when using the unitary technique to a problem.
  • Always write the items that need to be computed on the right side and the things that are known on the left side to simplify things. We are aware of the quantity of apples and the amount of money in the aforesaid problem.

acc to our question-

  • = 12 + S
  • S= (2/5)A
  • S= (2/5)(12+S)
  • 5S = 24 + 2S
  • 3S = 24
  • S = 24/3 = 8 = what Sam received
  • A= 8+12 = 20 = what Audreyreceived
  • 8:20 is the same as 2:5
  • divide both 8 and 20 by 4 to get the 2 to 5 ratio.

hence,8:20 is the same as 2:5.

learn more about unitary method click here:

brainly.com/question/24587372

#SPJ4

8 0
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